Vector-output ReLU Neural Network Problems are Copositive Programs:
Convex Analysis of Two Layer Networks and Polynomial-time Algorithms

Vector-output ReLU Neural Network Problems are Copositive Programs: Convex Analysis of Two Layer Networks and Polynomial-time Algorithms

24 December 2020

Papers citing "Vector-output ReLU Neural Network Problems are Copositive Programs: Convex Analysis of Two Layer Networks and Polynomial-time Algorithms"

14 / 14 papers shown

Title
Implicit Bias in Matrix Factorization and its Explicit Realization in a New Architecture Yikun Hou Suvrit Sra A. Yurtsever 34 0 0 28 Jan 2025
Analyzing Neural Network-Based Generative Diffusion Models through Convex Optimization Fangzhao Zhang Mert Pilanci DiffM 54 3 0 03 Feb 2024
The Convex Landscape of Neural Networks: Characterizing Global Optima and Stationary Points via Lasso Models Tolga Ergen Mert Pilanci 21 2 0 19 Dec 2023
When Deep Learning Meets Polyhedral Theory: A Survey Joey Huchette Gonzalo Muñoz Thiago Serra Calvin Tsay AI4CE 102 33 0 29 Apr 2023
Convex Dual Theory Analysis of Two-Layer Convolutional Neural Networks with Soft-Thresholding Chunyan Xiong Meng Lu Xiaotong Yu JIAN-PENG Cao Zhong Chen D. Guo X. Qu MLT 43 0 0 14 Apr 2023
Unraveling Attention via Convex Duality: Analysis and Interpretations of Vision Transformers Arda Sahiner Tolga Ergen Batu Mehmet Ozturkler John M. Pauly Morteza Mardani Mert Pilanci 43 33 0 17 May 2022
Fast Convex Optimization for Two-Layer ReLU Networks: Equivalent Model Classes and Cone Decompositions Aaron Mishkin Arda Sahiner Mert Pilanci OffRL 77 30 0 02 Feb 2022
Path Regularization: A Convexity and Sparsity Inducing Regularization for Parallel ReLU Networks Tolga Ergen Mert Pilanci 34 16 0 18 Oct 2021
The Convex Geometry of Backpropagation: Neural Network Gradient Flows Converge to Extreme Points of the Dual Convex Program Yifei Wang Mert Pilanci MLT MDE 55 11 0 13 Oct 2021
Parallel Deep Neural Networks Have Zero Duality Gap Yifei Wang Tolga Ergen Mert Pilanci 79 10 0 13 Oct 2021
Global Optimality Beyond Two Layers: Training Deep ReLU Networks via Convex Programs Tolga Ergen Mert Pilanci OffRL MLT 42 33 0 11 Oct 2021
Practical Convex Formulation of Robust One-hidden-layer Neural Network Training Yatong Bai Tanmay Gautam Yujie Gai Somayeh Sojoudi AAML 27 3 0 25 May 2021
Nonparametric Learning of Two-Layer ReLU Residual Units Zhunxuan Wang Linyun He Chunchuan Lyu Shay B. Cohen MLT OffRL 36 1 0 17 Aug 2020
Convex Geometry and Duality of Over-parameterized Neural Networks Tolga Ergen Mert Pilanci MLT 47 54 0 25 Feb 2020